I agree with the principles of what you're saying, groupthink is certainly bad, but usually people align with other people with underlying foundational values and beliefs. Ie, people tend to support gay rights if they also support trans rights, because they stem from similar areas of prejudice.
But the foundational values vary from culture to culture. My country has a lot of people who are socially conservative, but not that many who support free-market economics. In your own example, we have a long tradition of transgender people, and they have laws protecting them from discrimination. On the other hand, homosexuality was a legal grey area until a few years ago, and their marriages are still not recognised by the law. Iran is an even more extreme example here, with gender reassignment surgery being state-subsidised, but homosexuality still illegal.
So I wonder to what extent political positions are universal, and to what extent they are an accident of history.